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Finding the Fourth Proportional to 305.07, 457.82 and 274.70

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Solution

The fourth proportional to 305.07, 457.82 and 274.70 is: 412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.07 : 457.82 = 274.70 : x
  2. Step 2: Convert to fraction form
    305.07/457.82 = 274.70/x
  3. Step 3: Cross multiply
    305.07x = 457.82 × 274.70
  4. Step 4: Simplify right side
    305.07x = 125,759.49
  5. Step 5: Solve for x
    x = 125,759.49/305.07
  6. Step 6: Final answer
    x = 412.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.